Resumen:

^aA new open spin chain hamiltonian is introduced. It is both integrable (Sklyanin's type K matrices are used to achieve this) and invariant under Uε(sl(2)) transformations in nilpotent irreps for ε^3 = 1. Some considerations on the centralizer of nilpotent re^aA new open spin chain hamiltonian is introduced. It is both integrable (Sklyanin's type K matrices are used to achieve this) and invariant under Uε(sl(2)) transformations in nilpotent irreps for ε^3 = 1. Some considerations on the centralizer of nilpotent representations and its representation theory are also presented.[+][-]